Atkin-Lehner |
2- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51100c |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-166791038750000 = -1 · 24 · 57 · 73 · 733 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12467,310562] |
[a1,a2,a3,a4,a6] |
j |
857106415616/667164155 |
j-invariant |
L |
0.73628303769114 |
L(r)(E,1)/r! |
Ω |
0.3681415193531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10220d1 |
Quadratic twists by: 5 |